Question

Converse of the pythagorean therom

Answer 1

The pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of the legs of the triangle is equal to the square of the hypotenuse or a² + b² = c².

The converse of the pythagorean theorem on the other hand states that if the sum of the squares of 2 sides of a triangle is equal to the square of the third side or a² + b² = c², then the triangle is a right triangle.

The converse switches the order of the if and then statements.

On the whiteboard, I have also written it.

Image provided.

Answer 2

“if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle”